Analytic Model for the QCD Running Coupling with Universalα¯s(0)Value

1997/04/16 by D. V. Shirkov, Дмитрий Васильевич Ширков, I. L. Solovtsov · 13 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevlett.79.1209

published as Phys.Rev.Lett. 79 (1997) 1209-1212 · 8 pages, LaTex with psfig.sty, 2 PostScript figures

arxiv created 1997/04/16 · openalex publication_date 1997/08/18 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We discuss the new model expression \ensuremathα_an(Q²) recently obtained for the QCD running coupling with a regular ghost-free behavior in the ``low Q<sup>2</sup>'' region. Being deduced from the standard ``asymptotic-freedom'' expression by imposing the Q² analyticity---without any adjustable parameters---it has nice features: (i) The universal limiting value \ensuremathα_an(0)\phantom\rule0ex0ex=\phantom\rule0ex0ex4\ensuremathπ/\ensuremathβ₀ expressed only via group symmetry factors and independent of experimental estimates on the running coupling \ensuremathα_s(Q²) (of QCD scale parameter \ensuremathΛ). This value is stable with respect to higher order corrections. (ii) Stability of IR behavior with respect to higher-loop effects. (iii) Coherence between the experimental \ensuremathα_an(M_\ensuremathτ²) value and integral information on IR \ensuremathα_s(Q²) behavior as extracted from jet physics data.

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